TY - JOUR
T1 - Ideal and anti-ideal decision making units
T2 - A fuzzy DEA approach
AU - Hatami-Marbini, Adel
AU - Saati, Saber
AU - Makui , Ahmad
PY - 2010/6/1
Y1 - 2010/6/1
N2 - In this paper, by introducing two virtual decision-making units (DMUs) called ideal DMU (IDMU) and anti-ideal DMU (ADMU) with fuzzy inputs-outputs, the efficiency evaluation of DMUs are done by fuzzy data envelopment analysis (FDEA). Therefore, we evaluate DMUs from the perspective of the best and worst possible relative efficiency. For each DMU two efficiencies are calculated while inputs and outputs are fuzzy. These two distinctive efficiencies are combined with the closeness coefficient (CC) index. The CC index is then used for an overall ranking of all DMUs. Finally, we compare the result of proposed fuzzy DEA model with León et al.’s (2003) results by representing a numerical example.
AB - In this paper, by introducing two virtual decision-making units (DMUs) called ideal DMU (IDMU) and anti-ideal DMU (ADMU) with fuzzy inputs-outputs, the efficiency evaluation of DMUs are done by fuzzy data envelopment analysis (FDEA). Therefore, we evaluate DMUs from the perspective of the best and worst possible relative efficiency. For each DMU two efficiencies are calculated while inputs and outputs are fuzzy. These two distinctive efficiencies are combined with the closeness coefficient (CC) index. The CC index is then used for an overall ranking of all DMUs. Finally, we compare the result of proposed fuzzy DEA model with León et al.’s (2003) results by representing a numerical example.
KW - DEA
KW - Fuzzy mathematical programming
KW - Ideal and anti-ideal decision making unit
KW - Ranking
UR - https://jiei.stb.iau.ir/issue_110200_110205.html
M3 - Article
VL - 6
SP - 31
EP - 41
JO - Journal of Industrial Engineering International
JF - Journal of Industrial Engineering International
SN - 1735-5702
IS - 10
ER -